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Finding the Fourth Proportional to 3,413.70, 5,132.70 and 2,879.10

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Solution

The fourth proportional to 3,413.70, 5,132.70 and 2,879.10 is: 4,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.70 : 5,132.70 = 2,879.10 : x
  2. Step 2: Convert to fraction form
    3,413.70/5,132.70 = 2,879.10/x
  3. Step 3: Cross multiply
    3,413.70x = 5,132.70 × 2,879.10
  4. Step 4: Simplify right side
    3,413.70x = 14,777,556.57
  5. Step 5: Solve for x
    x = 14,777,556.57/3,413.70
  6. Step 6: Final answer
    x = 4,328.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.